Finite element simulation of a two-dimensional standing wave thermoacoustic engine

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Abstract

Thermoacoustic engines use heat to produce acoustic power. The subject of this manuscript is modeling of thermoacoustic engines. A finite element simulation has been performed on a theoretical example of a two-dimensional standing wave thermoacoustic engine. The simulation solves the linearized Navier-Stokes equations in the frequency domain. The analysis is used to obtain the (thermo)acoustic eigenfrequencies and the corresponding mode shapes of the engine. The nonlinear eigenfrequency problem is solved using an iterative (modified) Newton-Raphson method. The engine starts to oscillate (onset) when a linear instability is present. An instability can be determined when the imaginary part of an eigenfrequency of the engine crosses zero and becomes negative
Original languageEnglish
Title of host publicationProceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I
Place of PublicationMontréal
PublisherAcoustical Society of America through the American Institute of Physics
Pages1-7
Number of pages10
DOIs
Publication statusPublished - 2 Jun 2013
Event21st International Congress on Acoustics, ICA 2013 - Montréal, Montreal, Canada
Duration: 2 Jun 20137 Jun 2013
Conference number: 21
http://www.ica2013montreal.org/

Publication series

Name
PublisherAcoustical Society of America through the American Institute of Physics
Volume19
ISSN (Print)1939-800X

Conference

Conference21st International Congress on Acoustics, ICA 2013
Abbreviated titleICA
CountryCanada
CityMontreal
Period2/06/137/06/13
Other02-06-2013
Internet address

Fingerprint

standing waves
engines
simulation
Newton-Raphson method
acoustics
modal response
Navier-Stokes equation
heat

Keywords

  • METIS-296981
  • IR-86712

Cite this

de Jong, A., Wijnant, Y. H., & de Boer, A. (2013). Finite element simulation of a two-dimensional standing wave thermoacoustic engine. In Proceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I (pp. 1-7). [030002] Montréal: Acoustical Society of America through the American Institute of Physics. https://doi.org/10.1121/1.4798957
de Jong, Anne ; Wijnant, Ysbrand H. ; de Boer, Andries. / Finite element simulation of a two-dimensional standing wave thermoacoustic engine. Proceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I. Montréal : Acoustical Society of America through the American Institute of Physics, 2013. pp. 1-7
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abstract = "Thermoacoustic engines use heat to produce acoustic power. The subject of this manuscript is modeling of thermoacoustic engines. A finite element simulation has been performed on a theoretical example of a two-dimensional standing wave thermoacoustic engine. The simulation solves the linearized Navier-Stokes equations in the frequency domain. The analysis is used to obtain the (thermo)acoustic eigenfrequencies and the corresponding mode shapes of the engine. The nonlinear eigenfrequency problem is solved using an iterative (modified) Newton-Raphson method. The engine starts to oscillate (onset) when a linear instability is present. An instability can be determined when the imaginary part of an eigenfrequency of the engine crosses zero and becomes negative",
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de Jong, A, Wijnant, YH & de Boer, A 2013, Finite element simulation of a two-dimensional standing wave thermoacoustic engine. in Proceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I., 030002, Acoustical Society of America through the American Institute of Physics, Montréal, pp. 1-7, 21st International Congress on Acoustics, ICA 2013, Montreal, Canada, 2/06/13. https://doi.org/10.1121/1.4798957

Finite element simulation of a two-dimensional standing wave thermoacoustic engine. / de Jong, Anne; Wijnant, Ysbrand H.; de Boer, Andries.

Proceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I. Montréal : Acoustical Society of America through the American Institute of Physics, 2013. p. 1-7 030002.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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N2 - Thermoacoustic engines use heat to produce acoustic power. The subject of this manuscript is modeling of thermoacoustic engines. A finite element simulation has been performed on a theoretical example of a two-dimensional standing wave thermoacoustic engine. The simulation solves the linearized Navier-Stokes equations in the frequency domain. The analysis is used to obtain the (thermo)acoustic eigenfrequencies and the corresponding mode shapes of the engine. The nonlinear eigenfrequency problem is solved using an iterative (modified) Newton-Raphson method. The engine starts to oscillate (onset) when a linear instability is present. An instability can be determined when the imaginary part of an eigenfrequency of the engine crosses zero and becomes negative

AB - Thermoacoustic engines use heat to produce acoustic power. The subject of this manuscript is modeling of thermoacoustic engines. A finite element simulation has been performed on a theoretical example of a two-dimensional standing wave thermoacoustic engine. The simulation solves the linearized Navier-Stokes equations in the frequency domain. The analysis is used to obtain the (thermo)acoustic eigenfrequencies and the corresponding mode shapes of the engine. The nonlinear eigenfrequency problem is solved using an iterative (modified) Newton-Raphson method. The engine starts to oscillate (onset) when a linear instability is present. An instability can be determined when the imaginary part of an eigenfrequency of the engine crosses zero and becomes negative

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de Jong A, Wijnant YH, de Boer A. Finite element simulation of a two-dimensional standing wave thermoacoustic engine. In Proceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I. Montréal: Acoustical Society of America through the American Institute of Physics. 2013. p. 1-7. 030002 https://doi.org/10.1121/1.4798957